here are the simple examples of the basic rules that alan showed ! these may help u understand the examples and are done separately not in the sum !

here we go !

1.a) a^{3 }b^{5 }x a^{2}b^{2}

the rule to solve this is x^{a }* x^{b }= x^{a+b }

ANS = a3 b5 x a2 b2

=a^{3+2 }b^{5+2}

=a^{5}b^{7 = ANS}

if there isnt any power on either of the variables then u dont plus anything for eg. n*n=n^{2} !

or if there is on one and not on the other then ull do like this eg. n^{7 }x n = n^{8}

the answer came n^{8} becoz there was no power on the other n so we assume it as one and so 7+1 = 8 !

c)p^{4}q^{6}/p^{3}q^{9}

rule= x^{a }/ x^{b}

=x^{a-b}

so ANS =p^{4}q^{6}/p^{3}q^{9}

=p^{4-3 }q^{6-}^{9}

=p^{1}q^{3 }= ANS

and so if there no power on any variable then use the same thing i told u before but remember it has to be - in place of + , thats obvio !

this is the third rule (x^{a })^{b}

=x^{a*b }

an eg not from ur pic but = (b^{5})^{2}

= b^{5*2}

=b^{10}

so these are the rules , use them to solve the problems ! BEST OF LUCK for the exam !